Details

sample250.0ms

Algorithm

intervals

Results

62.0ms	45×	body	1280	valid
60.0ms	45×	body	10240	exit
39.0ms	49×	body	640	valid
22.0ms	130×	body	80	valid
11.0ms	20×	body	320	valid
8.0ms	64×	body	80	nan
6.0ms	10×	body	640	nan
6.0ms	7×	body	1280	nan
4.0ms	12×	body	160	valid
3.0ms	1×	body	2560	valid
2.0ms	4×	body	320	nan
1.0ms	5×	body	160	nan

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3550
6	735
5	195
4	73
3	48
2	33
1	20
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
3.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-log-exp`
9×	`pow1`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`flip3-+` `div-sub` `flip-+` `insert-posit16` `associate-/l*`
3×	`log-prod` `associate-/r*`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate--r-` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `associate-+l-` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 83

Calls

4 calls:

10.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
61.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
27.0ms	(log (+ (- 1.0 y) (* y (exp z))))
31.0ms	(+ (- 1.0 y) (* y (exp z)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
195.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
124.0ms	(log (+ (- 1.0 y) (* y (exp z))))
67.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1944
1	482
0	206

prune608.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.2b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.1b	(/ (* z y) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp` `insert-posit16`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

36.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
9.0ms	(/ (* z y) t)

series146.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
28.0ms	(/ (* z y) t)

simplify1.1s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	932
1	215
0	88

prune302.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
5.4b	(* z (/ y t))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1`
3×	`associate-l`
2×	`diff-log` `prod-exp` `cbrt-unprod` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `sum-log` `sub-neg` `flip3--` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

93.0ms	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
17.0ms	(* z (/ y t))

series188.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
36.0ms	(* z (/ y t))

simplify979.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	1025
1	288
0	113

prune394.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.2b	(* (* (* z (cbrt y)) (cbrt y)) (/ (cbrt y) t))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-prod` `times-frac`
16×	`add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-l` `associate-r/` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
77.0ms	(* (* (* z (cbrt y)) (cbrt y)) (/ (cbrt y) t))

series898.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
273.0ms	(cbrt y)
314.0ms	(cbrt y)
54.0ms	(* (* (* z (cbrt y)) (cbrt y)) (/ (cbrt y) t))

simplify2.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	3020
1	381
0	123

prune582.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.0b

regimes1.5s

Accuracy

61% (5.2b remaining)

Error of 8.9b against oracle of 3.7b and baseline of 17.1b

bsearch114.0ms

Steps

Iters	Range		Point
7	-0.21096739287213784	-0.0014124555392904749	-0.005019481635896301

simplify6.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample8.2s

Algorithm

intervals

Results

2.4s	1533×	body	10240	exit
1.8s	1460×	body	1280	valid
1.1s	1614×	body	640	valid
717.0ms	2548×	body	80	nan
585.0ms	3509×	body	80	valid
433.0ms	874×	body	320	valid
208.0ms	83×	body	2560	valid
153.0ms	269×	body	640	nan
133.0ms	485×	body	160	valid
86.0ms	120×	body	1280	nan
70.0ms	195×	body	320	nan
23.0ms	107×	body	160	nan